1013313233100 has 216 divisors, whose sum is σ = 3412273631760. Its totient is φ = 231495559680.

The previous prime is 1013313233071. The next prime is 1013313233123. The reversal of 1013313233100 is 13323133101.

It is a super-2 number, since 2×1013313233100² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 30397642 + ... + 30430958.

It is an arithmetic number, because the mean of its divisors is an integer number (15797563110).

Almost surely, 2^{1013313233100} is an apocalyptic number.

1013313233100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1013313233100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1706136815880).

1013313233100 is an abundant number, since it is smaller than the sum of its proper divisors (2398960398660).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1013313233100 is a wasteful number, since it uses less digits than its factorization.

1013313233100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35417 (or 35403 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 1013313233100 its reverse (13323133101), we get a palindrome (1026636366201).

Subtracting from 1013313233100 its reverse (13323133101), we obtain a palindrome (999990099999).

The spelling of 1013313233100 in words is "one trillion, thirteen billion, three hundred thirteen million, two hundred thirty-three thousand, one hundred".